Pith Number

pith:KEIG2Q2F

pith:2024:KEIG2Q2F5IYPXDRF7HD55G2IEH

not attested not anchored not stored refs pending

Quantum chromatic numbers of some graphs in Hamming schemes

Keqin Feng, Xiwang Cao, Ying-Ying Tan

arxiv:2412.09904 v2 · 2024-12-13 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEIG2Q2F5IYPXDRF7HD55G2IEH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

On the Smallest Eigenvalues and Quantum Chromatic Numbers of Hamming Graphs and Generalizations

Optimization and complexity of inertia-type bounds on the independence and chromatic numbers of graph powers

Receipt and verification

First computed	2026-07-05T09:55:14.890325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51106d4345ea30fb8e25f9c7de9b4821fcf2d128d8ab8c678908d543d3df8bbf

Aliases

arxiv: 2412.09904 · arxiv_version: 2412.09904v2 · doi: 10.48550/arxiv.2412.09904 · pith_short_12: KEIG2Q2F5IYP · pith_short_16: KEIG2Q2F5IYPXDRF · pith_short_8: KEIG2Q2F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KEIG2Q2F5IYPXDRF7HD55G2IEH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 51106d4345ea30fb8e25f9c7de9b4821fcf2d128d8ab8c678908d543d3df8bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ae246b7ea0d6a7f7c50aa89e702c9aadd33df0a26f33dabe90847464e71f97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-13T06:45:02Z",
    "title_canon_sha256": "feb547bccf11e26f7fa7cc2f34d4ac0acf4231e3b2b2af40d8013e759d6366d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09904",
    "kind": "arxiv",
    "version": 2
  }
}